Atkin-Lehner |
2+ 3- 5+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
29280n |
Isogeny class |
Conductor |
29280 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-22875000000000 = -1 · 29 · 3 · 512 · 61 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 4 -6 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-3256,-242056] |
[a1,a2,a3,a4,a6] |
Generators |
[12435477645602869:67593869232468750:134776869375511] |
Generators of the group modulo torsion |
j |
-7458308028872/44677734375 |
j-invariant |
L |
6.1596572010505 |
L(r)(E,1)/r! |
Ω |
0.28270169162547 |
Real period |
R |
21.788540300675 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
29280f2 58560cs3 87840bv2 |
Quadratic twists by: -4 8 -3 |